Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information. 
Sales ($) 
130 
136 
147 
161 
132 
147 

Audit ($) 
131 
103 
132 
132 
140 
107 
132 
At the 0.05 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff? 
1.  State the decision rule. (Round your answer to 3 decimal places.) 
Reject H_{0} if t > 
2.  Compute the pooled estimate of the population variance. (Round your answer to 2 decimal places.) 
Pooled variance 
3.  Compute the test statistic. (Round your answer to 3 decimal places.) 
Value of the test statistic 
4.  State your decision about the null hypothesis. 
(Click to select)Do not rejectReject H_{0} : μ_{s} ≤ μ_{a} 
5.  Estimate the pvalue. (Round your answers to 3 decimal places.) 
pvalue  (Click to select)between 0.01 and 0.025between 0.05 and 0.1less than 0.01between 0.025 and 0.05 
1)
degree of freedom v=  (n_{1}+n_{2}2)=  11.000  
for 0.05 level ,right tail test &11 df, critical t=  1.796  
Decision rule : reject Ho if test statistic t>1.796 
2)
sales  audit  
x_{1} =  142.17  x_{2} =  125.29  
s_{1} =  11.75  s_{2} =  14.23  
n_{1} =  6  n_{2} =  7  
Pooled Variance Sp^{2}=((n_{1}1)s^{2}_{1}+(n_{2}1)*s^{2}_{2})/(n_{1}+n_{2}2)=  173.30 
3)
standard error se =S_{p}*√(1/n1+1/n2)=  7.3239  
test stat t =(x1x2Δo)/Se=  2.305 
4)
reject Ho
5)
p value is between 0.01 and 0.025
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